Formally, a deterministic finite automaton A may be defined by the tuple (S, I, δ, s0, F) where S is the set of states of the automaton, I is the set of input symbols, δ is the transition function that takes a state s and an input symbol x to a new state δ(s,x), s0 is the initial state of the automaton, and F is the set of accepting or final states of the automaton.
Finite state automata and regular expressions. Context-free grammars and pushdown automata. Turing machines. Models of computable functions and undecidable problems. The course emphasis is on the theory of computability, especially on showing limits of computation. May be taken for graduate credit. (Same as .) Prerequisite: and upper-level EECS eligibility. LEC.
The operation of Park-Miller algorithm to generate pseudo random number uses 32-bit Booth multiplier for multiplication, 32-bit floating point divider for division and a finite state machine for the flow of Park-Miller algorithm operation.
An introduction to the use of numerical methods in the solution of problems in physics for which simplifications allowing closed-form solutions are not applicable. Examples are drawn from mechanics, electricity, magnetism, thermodynamics, and optics. (Same as .) Prerequisite: , or equivalent, and or equivalent. LEC.
In automata theory, a permutation automaton, or pure-group automaton, is a deterministic finite automaton such that each input symbol permutes the set of states.